Question

Need help!!!! Please answer these equations and show your work. Thank you!!!

2 step equation:

4x + 3 = 19


2 step equation with fractions:
(4/3)x + 5 = 17

Distributive Property:

4x(6 - 2) - 10 = 20


Decimals:

4.3x + 0.7 = 5 


Real world equation:
 Jamie’s grocery store is bringing in money from customers, and she needs to know how much she needs to pay off the bill for the electricity to run the place. To turn the electricity on, she has to pay $25. For every hour that the electricity is on for, she has to pay $4. How many hours can she have the electricity on for if she makes $49 profit?

Answer 1

Problem 1.
Solve for x:
4 x + 3 = 19
Subtract 3 from both sides:
4 x + (3 - 3) = 19 - 3
3 - 3 = 0:
4 x = 19 - 3
19 - 3 = 16:
4 x = 16
Divide both sides of 4 x = 16 by 4:
(4 x)/4 = 16/4
4/4 = 1:
x = 16/4
The gcd of 16 and 4 is 4, so 16/4 = (4×4)/(4×1) = 4/4×4 = 4:
Answer: x = 4

Problem 2.

Solve for x:
(4 x)/3 + 5 = 17
Put each term in (4 x)/3 + 5 over the common denominator 3: (4 x)/3 + 5 = (4 x)/3 + 15/3:
(4 x)/3 + 15/3 = 17
(4 x)/3 + 15/3 = (4 x + 15)/3:
(4 x + 15)/3 = 17
Multiply both sides of (4 x + 15)/3 = 17 by 3:
(3 (4 x + 15))/3 = 3×17
(3 (4 x + 15))/3 = 3/3×(4 x + 15) = 4 x + 15:
4 x + 15 = 3×17
3×17 = 51:
4 x + 15 = 51
Subtract 15 from both sides:
4 x + (15 - 15) = 51 - 15
15 - 15 = 0:
4 x = 51 - 15
51 - 15 = 36:
4 x = 36
Divide both sides of 4 x = 36 by 4:
(4 x)/4 = 36/4
4/4 = 1:
x = 36/4
The gcd of 36 and 4 is 4, so 36/4 = (4×9)/(4×1) = 4/4×9 = 9:
Answer: x = 9

Problem 3

Solve for x:
4 (6 - 2) x - 10 = 20
6 - 2 = 4:
4×4 x - 10 = 20
4×4 = 16:
16 x - 10 = 20
Add 10 to both sides:
16 x + (10 - 10) = 10 + 20
10 - 10 = 0:
16 x = 20 + 10
20 + 10 = 30:
16 x = 30
Divide both sides of 16 x = 30 by 16:
(16 x)/16 = 30/16
16/16 = 1:
x = 30/16
The gcd of 30 and 16 is 2, so 30/16 = (2×15)/(2×8) = 2/2×15/8 = 15/8:
Answer: x = 15/8

Problem 4

Solve for x:
4.3 x + 0.7 = 5
Subtract 0.7 from both sides:
4.3 x + (0.7 - 0.7) = 5 - 0.7
0.7 - 0.7 = 0:
4.3 x = 5 - 0.7
5 - 0.7 = 4.3:
4.3 x = 4.3
Divide both sides of 4.3 x = 4.3 by 4.3:
(4.3 x)/4.3 = 4.3/4.3
4.3/4.3 = 1:
x = 4.3/4.3
4.3/4.3 = 1:
Answer: x = 1
As for the Real world question, I have no idea. Given are, $25 to turn on the electricity and $4/hr to run it. What is she selling and for how much? I don't think there is a solution as not enough information is given.